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<article class="fact theorem-like"><h2 class="heading">
<span class="type">Fact</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">4.1.8</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Binomial MLE.</span>
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<div class="para">If we see <span class="process-math">\(k\)</span> heads in <span class="process-math">\(n\)</span> coin flips, then the MLE of the bias <span class="process-math">\(p\)</span> is <span class="process-math">\(\frac{k}{n}\text{.}\)</span><div class="autopermalink" aria-hidden="true" data-description="Paragraph"><a tabindex="-1" href="#fact-MLE-binomial-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="autopermalink" aria-hidden="true" data-description="Fact 4.1.8: Binomial MLE"><a tabindex="-1" href="#fact-MLE-binomial" title="Copy heading and permalink for Fact 4.1.8: Binomial MLE" aria-label="Copy heading and permalink for Fact 4.1.8: Binomial MLE">🔗</a></div>
</article><span class="incontext"><a class="internal" href="sec-Likelihood.html#fact-MLE-binomial">In Context</a></span>
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